The Products of Differentiation and Composition Operators from Logarithmic Bloch Spaces to μ-Bloch Spaces

被引：0

作者：

Liang, Yu-Xia ^{[1
]}

Zhou, Ze-Hua ^{[2
]}

机构：

[1] Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China

[2] Tianjin Univ, Sch Math, Tianjin 300354, Peoples R China

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2020年 / 46卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Differentiation; Essential norm; Composition operator; Bloch space; WEIGHTED COMPOSITION OPERATORS; ESSENTIAL NORMS;

D O I：

10.1007/s41980-019-00248-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present the new characterizations, in terms of the sequence {z(j)}(j=1)(infinity), about the boundedness and essential norm estimation for the products of differentiation and composition operators from logarithmic Bloch spaces to mu-Bloch spaces on the unit disk. Then our main results are applied to show the boundedness of a non-trivial product operator C phi Dm with phi(z) = z(2).

引用

页码：159 / 176

页数：18

共 50 条

[1] Composition operators from logarithmic Bloch spaces to weighted Bloch spaces
Castillo, Rene E.
Clahane, Dana D.
Farias Lopez, Juan F.
Ramos Fernandez, Julio C.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (12) : 6692 - 6706
[2] Composition operators from logarithmic Bloch spaces to Bloch-type spaces
Garcia Ortiz, Armando J.
Ramos-Fernandez, Julio C.
[J]. GEORGIAN MATHEMATICAL JOURNAL, 2013, 20 (04) : 671 - 686
[3] Composition operators on logarithmic α-Bloch spaces
Ye, Shanli
[J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2010, 12 (04) : 780 - 786
[4] Products of composition and differentiation operators from Zygmund spaces to Bloch spaces and Bers spaces
Li, Songxiao
Stevic, Stevo
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (07) : 3144 - 3154
[5] Products of Composition and Differentiation Operators from Bloch into QK Spaces
Wang, Shunlai
Zhang, Taizhong
[J]. JOURNAL OF FUNCTION SPACES, 2016, 2016
[6] THE PRODUCTS OF DIFFERENTIATION AND COMPOSITION OPERATORS ON BLOCH TYPE SPACES
Yang, Weifeng
[J]. BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 8 (03): : 25 - 34
[7] Weighted Composition Operators from Hardy Spaces into Logarithmic Bloch Spaces
Colonna, Flavia
Li, Songxiao
[J]. JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2012,
[8] Weighted differentiation composition operator from logarithmic Bloch spaces to Bloch-type spaces
Liang, Yu-Xia
Zhou, Ze-Hua
[J]. MATHEMATISCHE NACHRICHTEN, 2017, 290 (2-3) : 349 - 366
[9] VOLTERRA COMPOSITION OPERATORS ON LOGARITHMIC BLOCH SPACES
Zhu, Xiangling
[J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2009, 3 (01): : 122 - 130
[10] Logarithmic Bloch spaces and their weighted composition operators
Ramos-Fernández J.C.
[J]. Rendiconti del Circolo Matematico di Palermo (1952 -), 2016, 65 (1): : 159 - 174

← 1 2 3 4 5 →